Chapter Closure
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Area: 30 units^2
Area: 46 units^2
Area: 34 units^2
a= 5, b= 12
Calculate power
Add terms
Rearrange equation
sqrt(LHS)=sqrt(RHS)
c > 0
Perimeter: 5+12+13=30 The area of a triangle is the product of the base and height divided by 2. In a right triangle, these dimensions are made up by the triangle's legs.
Perimeter: 2+7+4+2+4+6+6+3=34 To find the area, we will keep some of the information about the unknown lengths we calculated when determining the perimeter. By dividing the figure into two rectangles and a square, we can calculate the area of these shapes and then add them.
Now we can calculate the total area of the shape. Area: (2)(3)+ (4)(4)+ (4)(6)=46
a= 4, b= 3
Calculate power
Add terms
Rearrange equation
sqrt(LHS)=sqrt(RHS)
c > 0
Having identified all of the sides, we can calculate the perimeter by adding them. Perimeter: 4+7+5+10=26 The area can be determined as the sum of the triangle and rectangle that was identified when finding the perimeter. Area: (4)(7)+1/2(4)(3)=34